117205 has 8 divisors (see below), whose sum is σ = 153504. Its totient is φ = 85200.

The previous prime is 117203. The next prime is 117209. The reversal of 117205 is 502711.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 117205 - 2¹ = 117203 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1011 + ... + 1120.

It is an arithmetic number, because the mean of its divisors is an integer number (19188).

2¹¹⁷²⁰⁵ is an apocalyptic number.

It is an amenable number.

117205 is a deficient number, since it is larger than the sum of its proper divisors (36299).

117205 is a wasteful number, since it uses less digits than its factorization.

117205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2147.

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 117205 is about 342.3521578726. The cubic root of 117205 is about 48.9382813110.

Adding to 117205 its reverse (502711), we get a palindrome (619916).

The spelling of 117205 in words is "one hundred seventeen thousand, two hundred five".